Home
Class 12
MATHS
The value of (int0^n[x]dx)/(int0^n{x}dx ...

The value of `(int_0^n[x]dx)/(int_0^n{x}dx` is (where [x] and {x} denotes the integral part and fractional part functions of x and `x in N`)

A

n+2

B

n+1

C

n

D

n-1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY & DIFFERENTIABILITY

    PATHFINDER|Exercise QUESTION BANK|13 Videos
  • DETERMINATES

    PATHFINDER|Exercise QUESTION BANK|21 Videos

Similar Questions

Explore conceptually related problems

Let I_1=int_0^n[x]dx" and I_2=int_0^n{x}dx , where [x] and {x} are integral and fractional parts of x and nne N-{1} . Then (I_1)/(I_2) is equal to

Find the value of int_(-1)^(1)[x^(2)+{x}]dx , where [.] and {.} denote the greatest function and fractional parts of x , respectiely.

The value of x satisfying int_0^(2[x+14]){x/2}dx=int_0^({x})[x+14]dx is equal to (where[.] and{.} denotes the greatest integer and fractional part of x

The value of int_0^1.5 [x^2] dx is : where [x] denotes greatest integer function.

Find the value of int_0^1x(1-x)dx

Solve 2[x]=x+{x},where [.] and {} denote the greatest integer function and the fractional part function, respectively.

If int_(0)^(x) [x] dx = int_(0)^([x]) xdx, x notin integer (where, [.] and {.} denotes the greatest integer and fractional parts respectively, then the value of 4{x} is equal to …

The value of int_(-1)^2abs([x]-{x})dx where [x] is the greatest integer less then or equal to x and {x} is the fractional part of x is

The value of the integral int_0^1e^(x^2)dx

Solve : 4{x}= x+ [x] (where [*] denotes the greatest integer function and {*} denotes the fractional part function.